Ionenstrahlsimulationen außerhalb. Martin Droba

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1 Ionenstrahlsimulationen außerhalb verfügbarer Standardprogramme Martin Droba

2 Contents Motivation LORASR Magnetic codes TNSA LASIN Conclusion & Outlook

3 Standard Tracking Programs TRACE3D, PARMILA, PARMTEQ, LORASR, DYNAMION - Paraxial Approximation, realistic fields input -Space charge routines PIC, PPI WARP-Code Plasma simulation PIC Other IGUN

4 Motivation Realistic fields Improvements of field maps Higher space charge fields Stronger focusing Parallel implementation Clusters Modern computation methods - Parameter optimisation (PSO) - Multigrid methods Collective phenomena Multispecies (compensation electrons, LEBT, TNSA) PIC+Collisions (neutron production, ion source)

5 LORASR Present and Mid Term Code Development Topics Present activities: - Implementation of orbit corrections (steering magnets) for error studies. - Verification of the relativistic correction for the space charge fields. Midtermplans: - Field maps from numerical simulations for rf gaps and magnetic lenses Relevance: asymmetric gap geometries fringe fields (dipole magnets and short solenoids) quadrupole content of CH-gaps

6 NNP Breakingthesymmetry GaborM ( J. Pozimski& O. Meusel) (r,z) -Solver Magnetohydrodynamic Equillibria Φ A = 2 er B 8m e 2 z video11.avi Gab_lens3D-Particle-In-Cell Simulation (M.Droba, O. Meusel, K. Schulte) Particle tracking- parallel Dynamic Finite Larmor radius- effects

7 TBT (ToroidalBeam Transport) (N. Joshi, H. Niebuhr, A. Ates, M. Droba) Curved magnetic field Drifts RxB, ExB Reflexion Magnetic bottle configuration Toroidal coordinate system Ions and beam induced electrons Symplectic Integrator

8 Ion Species Separation Low energy (10keV) composited ion beam The separation between species due to curvature drift possible over long path length Separation due to phase difference in Larmor gyration

9 Code - Segments F8SR F8SR Design Biot-Savart Solver - Coil Settings 3D - Establishment of flux coordinates

10 Code - Infinity F8SR Particle tracking in flux coordinate 3D Poisson solver - Guiding center approximation - Explicit Symplectic Integrators? - Singularity on axis -> switching to real space ToDo : role of iota parameter for clockwise and counterclockwise moving beams

11 Project LIGHT Target Electron Cloud PHELI X- Laser Blowoff plasma Ions H. Schwoereret al., Nature 439, 26. Target Normal Sheath Acceleration (TNSA) -Focusing (Pulsed Solenoid ~ 18T) -Injection and Post-acceleration in CH-Structure

12 LASIN -Code Parallel PIC-program implemented on FUCHS (CSC-Cluster) Multispecies tracking (x,y,z) Poisson solver iterative BiCGSTAB method Cylindrical coordinates 3D Typically 50 Processors

13 Space charge off Successfully comparison with: DYNAMION (Yaramishev) LORASR (Ratzinger,Tiede Droba) Aberrations Chromatic - Geometric

14 LASIN Space charge Preliminary studies with space charge: - Important interaction on 1 st mm - Energy spread? - Opening angles? - Energy conservation? - Momentum transfer between Species?

15 LASIN Space charge Homogenous ellipsoid R=30µm, L=22µm Bunch equiv to protons Mesh (r,phi,z) = 250x30x10000, (dr,dphi,dz)=(6µm,0.2rad,2µm) W~10MeV

16 Simulation Protons&Electrons dt=25fs R=30µm, L=22µm Protons W=10MeV Electrons W=5.5keV Particles/1 Macroparticle=4444 =>4.5Mio Macroparticles Mesh: dr=6µm dφ=0.2rad dz=2µm

17 Simulation -Improvements t=0ps t=2.4ps dt=5fs R=30µm, L=22µm Protons W=10MeV Electrons W=5.5keV Particles/1 Macroparticle=4444 =>4.5Mio Macroparticles Mesh: dr=6µm dφ=0.2rad dz=2µm Less separation Lower electric fields and potential

18 LASIN Kinetic Energy Plasma oscillation longitudinally Along magnetic field Due to the higher magnetic field in propagation direction Redistribution of longitudinal momentum To the transverse direction

19 Potential t=2.25ps t=0s t=1ps t=1.5ps

20 LASIN -Energy Ratio variation of total energy/energy (~ 3ps) -Less comparing with previous case 6% -Due to the variation of magnetic field? -Using different type of integrators -Longer simulation needed -Cyclotron frequency ->characteristic time τ c =6e-12s -Plasma frequency -> characteristic time τ= 3.5e-13s -Debye length λ D =0.2µm New strategy -> finer mesh dual mesh

21 Conclusion & Outlook Dynamic in strong magnetic field (Solenoids, Toroids& Fringing fields+ magnetic coupling) Collective phenomena (Gabor Lens, electrons&ions) Correction coils Space-charge effects & Aberrations Experience -> Development of efficient simulation and design tools for future Linacs

22 Thank you for your attention

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